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Finding the Third Proportional to 73,021.50 and 149,499

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Solution

The third proportional to 73,021.50 and 149,499 is: 306,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,021.50 : 149,499 = 149,499 : x
  2. Step 2: Convert to fraction form
    73,021.50/149,499 = 149,499/x
  3. Step 3: Cross multiply
    73,021.50x = 149,499 × 149,499
  4. Step 4: Simplify right side
    73,021.50x = 22,349,951,001
  5. Step 5: Solve for x
    x = 22,349,951,001/73,021.50
  6. Step 6: Final answer
    x = 306,073.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.